Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? check all that apply.

1.the domain is {x|x ≤ –2}.

2.the range is {y|y ≤ 6}.

3. the function is increasing over the interval (–∞ , –2).

4.the function is decreasing over the interval (−4, ∞).

5.the function has a positive y-intercept.

we have that

using a graph tool

see the attached figure

Statements

case a) The domain is {x|x ≤ –2}-------> Is False

the domain is all real numbers---------> the interval solution is (-∞,∞)

case b) The range is {y|y ≤ 6}.------> Is True

The range is the interval (-∞,6]

case c) The function is increasing over the interval (–∞ , –2).-----> Is True

See the attached figure

case d) The function is decreasing over the interval (−4, ∞).-----> Is False

In the interval (-4,-2) the function is increasing and in the interval (-2,∞) the function is decreasing (See the attached figure)

case e) The function has a positive y-intercept.------> Is True

The value of y-intercept is

therefore

the answer is

The range is {y|y ≤ 6}

The function is increasing over the interval (–∞ , –2)

The function has a positive y-intercept

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

d is the answer

step-by-step explanation: